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Finding the Fourth Proportional to 2,102.34, 2,901.34 and 1,263.10

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Solution

The fourth proportional to 2,102.34, 2,901.34 and 1,263.10 is: 1,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.34 : 2,901.34 = 1,263.10 : x
  2. Step 2: Convert to fraction form
    2,102.34/2,901.34 = 1,263.10/x
  3. Step 3: Cross multiply
    2,102.34x = 2,901.34 × 1,263.10
  4. Step 4: Simplify right side
    2,102.34x = 3,664,682.55
  5. Step 5: Solve for x
    x = 3,664,682.55/2,102.34
  6. Step 6: Final answer
    x = 1,743.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.